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Simplifying cos(x) + -0.5sin(x) = 0.3 Multiply cos * x cosx + -0.5sin(x) = 0.3 Multiply ins * x cosx + -0.5insx = 0.3 Solving cosx + -0.5insx = 0.3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.5insx' to each side of the equation. cosx + -0.5insx + 0.5insx = 0.3 + 0.5insx Combine like terms: -0.5insx + 0.5insx = 0.0 cosx + 0.0 = 0.3 + 0.5insx cosx = 0.3 + 0.5insx Divide each side by 'osx'. c = 0.3o-1s-1x-1 + 0.5ino-1 Simplifying c = 0.3o-1s-1x-1 + 0.5ino-1 Reorder the terms: c = 0.5ino-1 + 0.3o-1s-1x-1
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